What is the Greatest Common Factor of 69822 and 69831?

Greatest common factor (GCF) of 69822 and 69831 is 9.

GCF(69822,69831) = 9

We will now calculate the prime factors of 69822 and 69831, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69822 and 69831.

How to find the GCF of 69822 and 69831?

We will first find the prime factorization of 69822 and 69831. After we will calculate the factors of 69822 and 69831 and find the biggest common factor number .

Step-1: Prime Factorization of 69822

Prime factors of 69822 are 2, 3, 431. Prime factorization of 69822 in exponential form is:

69822 = 2¹ × 3⁴ × 431¹

Step-2: Prime Factorization of 69831

Prime factors of 69831 are 3, 7759. Prime factorization of 69831 in exponential form is:

69831 = 3² × 7759¹

Step-3: Factors of 69822

List of positive integer factors of 69822 that divides 69822 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 431, 862, 1293, 2586, 3879, 7758, 11637, 23274, 34911

Step-4: Factors of 69831

List of positive integer factors of 69831 that divides 69822 without a remainder.

1, 3, 9, 7759, 23277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69822 and 69831. The biggest common factor number is the GCF number.
So the greatest common factor 69822 and 69831 is 9.

Also check out the Least Common Multiple of 69822 and 69831